Write the following cubes in expanded form

$(3 a+5 b)^{3}$

State whether each of the following statements is true or false

$x^{2}-5 x+4$ is a linear polynomial.

If the polynomial $a x^{3}+4 x^{2}+3 x-4$ and polynomial $x^{3}-4 x+a$ leave the same remainder when each is divided by $x-3,$ find the value of $a$.

Factorise

$49 x^{2}-42 x+9$

Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials

$p(t)=t^{2}-6 t+8$